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Finding the Fourth Proportional to 51,482.48, 77,083.26 and 38,964.64

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Solution

The fourth proportional to 51,482.48, 77,083.26 and 38,964.64 is: 58,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,482.48 : 77,083.26 = 38,964.64 : x
  2. Step 2: Convert to fraction form
    51,482.48/77,083.26 = 38,964.64/x
  3. Step 3: Cross multiply
    51,482.48x = 77,083.26 × 38,964.64
  4. Step 4: Simplify right side
    51,482.48x = 3,003,521,090.51
  5. Step 5: Solve for x
    x = 3,003,521,090.51/51,482.48
  6. Step 6: Final answer
    x = 58,340.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.